Wednesday, March 26, 2014 - 2:00pm
1 hour (actually 50 minutes)
A classical theorem of John Wermer asserts that the algebra of continuous functions on the circle with holomophic extensions to the disc is a maximal subalgebra of the algebra of all continuous functions on the circle. Wermer's theorem has been extended in numerous directions. These will be discussed with an emphasis on extensions to several complex variables.